examples for hermitian adjoint
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The following properties of the Hermitian adjoint of bounded operators are immediate:
Involutivity: A∗∗ = A.
If A is invertible, then so is A∗, with.
Anti-linearity: (A + B)∗ = A∗ + B. ∗ (λA)∗ = λA∗, where λ denotes the complex conjugate of the complex number λ
"Anti-distributivity": (AB)∗ = B∗A∗
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Answer:
The following properties of the Hermitian adjoint of bounded operators are immediate:
Involutivity: A∗∗ = A.
If A is invertible, then so is A∗, with.
Anti-linearity: (A + B)∗ = A∗ + B. ∗ (λA)∗ = λA∗, where λ denotes the complex conjugate of the complex number λ
"Anti-distributivity": (AB)∗ = B∗A∗
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